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Finding the Third Proportional to 400,707 and 624,037.50

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Solution

The third proportional to 400,707 and 624,037.50 is: 971,839.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,707 : 624,037.50 = 624,037.50 : x
  2. Step 2: Convert to fraction form
    400,707/624,037.50 = 624,037.50/x
  3. Step 3: Cross multiply
    400,707x = 624,037.50 × 624,037.50
  4. Step 4: Simplify right side
    400,707x = 389,422,801,406.25
  5. Step 5: Solve for x
    x = 389,422,801,406.25/400,707
  6. Step 6: Final answer
    x = 971,839.28

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.